x^2+7x+109=0

Solution for x^2+7x+109=0 equation:

Simplifying
x2 + 7x + 109 = 0

Reorder the terms:
109 + 7x + x2 = 0

Solving
109 + 7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-109' to each side of the equation.
109 + 7x + -109 + x2 = 0 + -109

Reorder the terms:
109 + -109 + 7x + x2 = 0 + -109

Combine like terms: 109 + -109 = 0
0 + 7x + x2 = 0 + -109
7x + x2 = 0 + -109

Combine like terms: 0 + -109 = -109
7x + x2 = -109

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -109 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -109 + 12.25

Combine like terms: -109 + 12.25 = -96.75
12.25 + 7x + x2 = -96.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -96.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.